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Finding the Fourth Proportional to 7,148.94, 9,866.94 and 4,316.78

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Solution

The fourth proportional to 7,148.94, 9,866.94 and 4,316.78 is: 5,958.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.94 : 9,866.94 = 4,316.78 : x
  2. Step 2: Convert to fraction form
    7,148.94/9,866.94 = 4,316.78/x
  3. Step 3: Cross multiply
    7,148.94x = 9,866.94 × 4,316.78
  4. Step 4: Simplify right side
    7,148.94x = 42,593,409.25
  5. Step 5: Solve for x
    x = 42,593,409.25/7,148.94
  6. Step 6: Final answer
    x = 5,958.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.